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Finding the Fourth Proportional to 129,691.20, 194,428.80 and 54,868.80

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Solution

The fourth proportional to 129,691.20, 194,428.80 and 54,868.80 is: 82,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,691.20 : 194,428.80 = 54,868.80 : x
  2. Step 2: Convert to fraction form
    129,691.20/194,428.80 = 54,868.80/x
  3. Step 3: Cross multiply
    129,691.20x = 194,428.80 × 54,868.80
  4. Step 4: Simplify right side
    129,691.20x = 10,668,074,941.44
  5. Step 5: Solve for x
    x = 10,668,074,941.44/129,691.20
  6. Step 6: Final answer
    x = 82,257.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.